What Is Standard Form

What Is Standard Form What Is Standard Form Hello students today we are going to discuss another important topic of straight line known as Standard Form. We will also going to discuss how to convert a point slope form and other different form of a straight line to standard form.

First of all we should know about the standard form Standard form: standard form of a straight line is in the form of Ax + By = C Now let us discuss how to convert a point slope form of a straight line to standard form with the help of some examples. This method can also be done by right hand limit and left hand limit.

Example 1: write the equation of a straight line in standard form passes through the point (2, 3) and having slope 5.

Solution: as we know equation of line passes through the point (2, 3) and having slope 5.can be obtain by the slope point form y- y1 = m(x-x1) .here m=5 and x1 = 2, y1=3

Know More About :- Z-Score Table

Math.Tutorvista.com

Page No. :- 1/4

It implies that y-3 = 5(x-2) It can be write in standard form 5x – y =7. By comparing with the standard form Ax + By = C We get A =5, B = -1, C=7.

Let us take another example Write the equation of a straight line in standard form passes through the point (-1, 2) and having slope 2.

Solution: as we know the equation of a straight line in standard form passes through the point (-1, 2) and having slope 2. Can be obtain by the slope point form y- y1 = m(x-x1) .here m=2 and x1 = -1, y1=2 It implies that y-2 = 2(x+1) It can be write in standard form 2x – y =-4. By comparing with the standard form Ax + By = C We get A =2, B = -1, C=-4.

We can see this method in Chemistry Books for Andhra Pradesh Board.

Now let us discuss how to convert a two point form of a straight line in standard form As we know the two points form of a straight line can be written as y-y1 = (y2 – y1)/(x2 – x1) * (x- x1) Let a line passes through the point (2, 3) and (1, 0)

Learn More :- Rectangular Coordinate System

Math.Tutorvista.com

Page No. :- 2/4

Then the equation of line will be y – 3 = (0 -3)/ (1 – 2) * (x – 2) It can be further written as y-3 = 3(x – 2) It can be written as y = 3x – 3 It can further be written in standard form 3x –y = 3 By comparing with the standard form Ax + By = C we get A = 3, B =-1, C = 3 This method can also be done by right hand limit.

Now let us discuss how to convert standard form a straight line to a point slope form with the help examples Example: write the equation of a straight line 4x+ 3y = 5 in point slope form Solution: the given standard form of straight line is 4x+ 3y = 5 Let us convert the given equation in slope point form It implies that

y = 1/3 (5-4x)

It implies that

y = -4/3 (x -4/5)

The above equation is the point slope form having slope -4/3 and passes through the point (4/5, 0).

Math.Tutorvista.com

Page No. :- 4/4

Thank You For Watching

Presentation